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Finding the Third Proportional to 847,221 and 1,865,027

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Solution

The third proportional to 847,221 and 1,865,027 is: 4,105,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,221 : 1,865,027 = 1,865,027 : x
  2. Step 2: Convert to fraction form
    847,221/1,865,027 = 1,865,027/x
  3. Step 3: Cross multiply
    847,221x = 1,865,027 × 1,865,027
  4. Step 4: Simplify right side
    847,221x = 3,478,325,710,729
  5. Step 5: Solve for x
    x = 3,478,325,710,729/847,221
  6. Step 6: Final answer
    x = 4,105,570.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.